Q: What are the prime factors of the number 86,112,672?

 A: 2, 3, 897007

Why are those the prime factors of the number 86,112,672?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 86,112,672

86,112,672
Factor Arrows
243,056,336
Factor Arrows
221,528,168
Factor Arrows
210,764,084
Factor Arrows
25,382,042
Factor Arrows
22,691,021
Factor Arrows
3897,007

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 897007

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 897,007 = 86,112,672

This can also be written as 25 x 31 x 897,0071 = 86,112,672

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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